FC Increasing and Decreasing Practice
Authored by Sally Grasse
Mathematics
9th - 12th Grade
CCSS covered
Used 6+ times
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14 questions
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1.
MATCH QUESTION
1 min • 1 pt
FOR EACH GRAPH MATCH THE INCREASING INTERVALS.
(0, inf)
Not increasing
(-inf,inf)
(-inf,-0.4)(.4, inf)
(-inf,3)(3,inf)
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
For what intervals of x is f(x) decreasing?
Tags
CCSS.HSF.IF.B.4
CCSS.HSF.IF.C.7
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
What is the interval of decrease for Graph #8?
(-∞, 0) ∪ (2, ∞)
(0, 2)
(-∞, 2)
(2, ∞)
Answer explanation
Graph #8 decreases in the intervals where the slope is negative. Analyzing the graph, it decreases from -∞ to 0 and from 2 to ∞, confirming the correct choice is (-∞, 0) ∪ (2, ∞).
4.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
For Graph #9, what is the interval where the function is increasing?
(-1, 0) ∪ (1, ∞)
(-∞, -1) ∪ (0, 1)
(-∞, 0) ∪ (1, ∞)
(0, 1) ∪ (1, ∞)
Answer explanation
The function is increasing in the intervals where the slope is positive. For Graph #9, this occurs in the intervals (-1, 0) and (1, ∞), making the correct answer (-1, 0) ∪ (1, ∞).
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
For Graph #10, what is the interval where the function is decreasing?
(-1, 0) ∪ (1, ∞)
(-∞, -1) ∪ (0, 1)
(-∞, 0) ∪ (1, ∞)
(0, 1) ∪ (1, ∞)
Answer explanation
The function is decreasing in the intervals where the slope is negative. For Graph #10, this occurs in the intervals (-1, 0) and (1, ∞), making the correct answer (-1, 0) ∪ (1, ∞).
6.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
For Graph #11, what is the interval where the function is decreasing?
(3, 5)
(-∞, 3)
(5, ∞)
(-∞, 5)
Answer explanation
The function is decreasing in the interval (3, 5) as indicated by the graph. In this range, the y-values of the function decrease as x increases, confirming that this is the correct interval for decreasing behavior.
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
For Graph #12, what is the interval where the function is increasing?
(4, 6)
(-∞, 4)
(6, ∞)
(-∞, 6)
Answer explanation
The function is increasing in the interval (4, 6) as indicated by the graph. In this range, the y-values rise as x-values increase, confirming that this is the correct interval for the function's increase.
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